Figure 5

Energy spectra for the emitted betatron radiation. (a) Temporal profile of the betatron radiation for a reference case without a modulator and for three different modulator pulse cases. The inset, corresponding to the case \(\lambda _m = \lambda _d/3\) and \(a_{0,m}=0.2\) is an order of magnitude more intense than the other cases. (b) On-axis time-integrated energy spectra of emitted X-rays and the critical energy of the emitted signal for the four cases (a) no modulator, (b) \(\lambda _m = \lambda _d\) and \(a_{0,m}=0.6\), (c) \(\lambda _m = \lambda _d/3\) and \(a_{0,m}=0.1\), and (d) \(\lambda _m = \lambda _d/3\) and \(a_{0,m}=0.2.\)